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Finding the Fourth Proportional to 406.86, 610.12 and 252.56

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Solution

The fourth proportional to 406.86, 610.12 and 252.56 is: 378.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.86 : 610.12 = 252.56 : x
  2. Step 2: Convert to fraction form
    406.86/610.12 = 252.56/x
  3. Step 3: Cross multiply
    406.86x = 610.12 × 252.56
  4. Step 4: Simplify right side
    406.86x = 154,087.59
  5. Step 5: Solve for x
    x = 154,087.59/406.86
  6. Step 6: Final answer
    x = 378.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.